r^2-20r+76=-8

Solution for r^2-20r+76=-8 equation:

Simplifying
r2 + -20r + 76 = -8

Reorder the terms:
76 + -20r + r2 = -8

Solving
76 + -20r + r2 = -8

Solving for variable 'r'.

Reorder the terms:
76 + 8 + -20r + r2 = -8 + 8

Combine like terms: 76 + 8 = 84
84 + -20r + r2 = -8 + 8

Combine like terms: -8 + 8 = 0
84 + -20r + r2 = 0

Factor a trinomial.
(6 + -1r)(14 + -1r) = 0

Subproblem 1
Set the factor '(6 + -1r)' equal to zero and attempt to solve:

Simplifying
6 + -1r = 0

Solving
6 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1r = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1r = 0 + -6
-1r = 0 + -6

Combine like terms: 0 + -6 = -6
-1r = -6

Divide each side by '-1'.
r = 6

Simplifying
r = 6
Subproblem 2
Set the factor '(14 + -1r)' equal to zero and attempt to solve:

Simplifying
14 + -1r = 0

Solving
14 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + -1r = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1r = 0 + -14
-1r = 0 + -14

Combine like terms: 0 + -14 = -14
-1r = -14

Divide each side by '-1'.
r = 14

Simplifying
r = 14
Solution
r = {6, 14}